Suggested models

We will use this post to collect ideas and suggestions of things to print. See also the Project List page to see which projects already have people working on them.

Prof. Rasmussen:

Given any knot, one can find a polynomial parametrization of said knot, and as a result, it can be represented as the vanishing set of some ideal of polynomials in R^3. As a result, each individual polynomial in the ideal describes a surface in R^3 that contains the knot. This gives a beautiful visualization that I think 3-d printing could provide.

I would love to have any of the following:

(a) a surface in R^3, with a highlighted copy of the knot embedded in it, (or even the same for several different surfaces),

(b) two different colored surfaces in R^3, (whose intersection would be the knot in question).